@salim-barzani Mathematica and Maple can't give a confirmation of G25  for this ode2 that it is a solution ?

@janhardo 
 "after equation 24 the reds one is not satisfy the equation i have to use equation 4-5 condition but i don't know how they use and satisfy the ode "

what  ode for this ?
its not the ode from ode-test-36.mw 

@salim-barzani 

Download G25_odetest_1-6-2025_mprimes.mw

@salim-barzani 

Download G5_oplosssing_in_Riccati_ode_mprimes1-6-2025.mw

@salim-barzani 

Makes no difference this solution for a odetest in the Ricatti ode, as it seems ?





 

@salim-barzani 
tanh solution 

eq5_naar_class1_via_bernouilli_tanh_oplossing_mprimes_30-5-2025.mw

eq5_naar_class1_via_bernouilli_mprimes_30-5-2025.mw

Solving the Bernoulli equation:

@salim-barzani 


start with equation(6) 
 

G25 solution has a different ode then in paper ?

Download G25_heeft_andere_ode_dan_gegeven_mprimes_30-5-2025.mw

"Could there be a mistake in my assumptions, or are some of these solutions only valid under specific conditions?

Also depends on some mathematical function type what the solution is , according to me with the scaling I suspect?

@salim-barzani 
All those solutions for Z , have certain conditions to get them to 0 in an odetest.
What are they ?
Download geschaalde_riccatie_ode_mprimes_29-5-2025_A.mw

@nm 

q0 and q1 can be 0 , but not q2 =0 ( no riccatie ode anymore) 


   is a Riccati form 

The combination of the 3 functions in the Riccation ode makes many ode forms possible

General form : 

@vv 
I don't use Copilot,but perhaps idea 
That's promising that the ai's don't come up with divergent reasoning

Although Maple cannot directly arrive at a stepwise result of the final result: 5/2 , the reasoning leading to the final result is informative

@vv 
 "generated by AI, probably Microsoft Copilot".:.. no, you need more clever ai then copilot

I do have some study maples worksheet for handling infinty series 
Not expensive to buy the whole lessons series with  different topics from Harald Pleym author
For real numbers, not complex 
For complex series there is probably to find  something